Moment characterization of phase noise in coherent optical systems

Pierobon, G.; Tomba, L.

doi:10.1109/50.84166

Cited by 46 publications

(21 citation statements)

References 9 publications

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“…The results for the steady-state regime are found to be in good agreement with previously published results [7]. As one can observe in Figs.…”

Section: Applicationssupporting

confidence: 92%

“…We also used a series expansion involving Chebyshev polynomials for comparison. Two cases were treated as follows: 1) zero starting value and 2) a random, uniformly distributed on , initial value (steady-state regime [7]). In Fig.…”

Section: Applicationsmentioning

confidence: 99%

“…[2]). The authors in [1] use simulation techniques; a characterization through moments has been given by [6] and [7], whereas a numerical approach is given in [8]. The list of references on phase noise analysis cited here is by no means complete but demonstrates the range of different approaches.…”

mentioning

confidence: 99%

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On a recursive formula for the moments of phase noise

Monroy

Hooghiemstra

2000

IEEE Trans. Commun.

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Abstract-In this paper, we present a recursive formula for the moments of phase noise in communication systems. The phase noise is modeled using continuous Brownian motion. The recursion is simple and valid for an arbitrary initial phase value. The moments obtained by the recursion are used to calculate approximations to the probability density function of the phase noise, using orthogonal polynomial series expansions and a maximum entropy criterion.Index Terms-Brownian motion, derivation of moments, error analysis, maximum entropy, optical communication, phase noise.

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“…The results for the steady-state regime are found to be in good agreement with previously published results [7]. As one can observe in Figs.…”

Section: Applicationssupporting

confidence: 92%

Section: Applicationsmentioning

confidence: 99%

See 1 more Smart Citation

On a recursive formula for the moments of phase noise

Monroy

Hooghiemstra

2000

IEEE Trans. Commun.

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“…Because of this considerable effort has gone into characterizing its statistics. While there is progress in this direction [7,8], the techniques known so far are too complicated. Therefore, we pursue a different approach which attenipts to approxiniate the random variable X(7) with a random variable whose statistics can be easily obtained.…”

Section: Performance Analysis and Resultsmentioning

confidence: 97%

“…The exact error probabilities for these receivers can be obtained by taking the expectation of the conditional error probability. However a computationally attractive method to obtain the statistics of the phase noisy envelope is yet to be found, although significant progress has been achieved [7,8]. Therefore, we use an approxiination to the actual envelope for which the statistics can be easily obtained.…”

Section: Introductionmentioning

confidence: 99%

Performance of on-off modulated lightwave signals with phase noise

Azizoglu

Humblet

1991

Advanced Fiber Communications Technologies

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We analyze the performance of On-Off-Keying modulated signals in the presence of phase noise for different envelope detection structures. We obtain closed-form expressions for the error probability conditioned on a random envelope, and remove the conditioning via approximations. We also provide a tight lower bound in closed-form. We also compare the performance with that of Frequency Shift Keying.

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Performance Evaluation of ASK Multichannel Coherent Optical Systems

Corvaja

Tomba

1993

Trans Emerging Tel Tech

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In this work we evaluate the impairments due to laser phase noise in multichannel coherent optical systems using a heterodyne ASK modulation scheme. The effects of crosstalk due to a finite value of the channel spacing are considered in a system employing a frequency division multiplexing technique. The phase noise and the frequency spacing between adjacent channels are the fundamental parameters which determine the design criteria (e.g. the bandwidth of the intermediate frequency filters) and the performance of the receiver. The accurate statistical characterization of the filtered phase noise and of the crosstalk is the key to get accurate results: to this aim the exact moments of the random processes related to the phase noise and to the crosstalk interference are used together with a Gaussian Quadrature Rule for the evaluation of the error probability.

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Moment characterization of phase noise in coherent optical systems

Cited by 46 publications

References 9 publications

On a recursive formula for the moments of phase noise

On a recursive formula for the moments of phase noise

Performance of on-off modulated lightwave signals with phase noise

Performance Evaluation of ASK Multichannel Coherent Optical Systems

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